{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Adaptive Finite Element Methods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adaptive methods are now widely used in the scientific computation to achieve better accuracy with minimum degree of freedom. We present an example here and refer to the lecture notes [Adaptive Finite Element Methods](https://www.math.uci.edu/~chenlong/226/Ch4AFEM.pdf) for convergence analysis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Singularity\n",
    "\n",
    "In FEM, we have obtained a first order convergence of the linear finite element approximation to the Poisson equation\n",
    "\n",
    "$$\n",
    "-\\Delta u = f \\quad \\hbox{in } \\Omega, \\qquad u=0 \\quad \\hbox{ on } \\partial \\Omega,\n",
    "$$\n",
    "\n",
    "provided the solution $u\\in H^2(\\Omega)$. Here is an example such regularity result does not hold. \n",
    "\n",
    "Let $\\Omega:= (-1,1)^2 \\backslash \\{[0,1)\\times(-1,0]\\}$ be a L-shaped domain with a reentrant corner. Consider the equation\n",
    "\n",
    "$$\n",
    "-\\Delta u = 0, \\hbox{ in } \\Omega  \\quad \\hbox{ and } \\; \n",
    "u=g \\hbox{ on } \\partial \\Omega,\n",
    "$$\n",
    "\n",
    "We choose the Dirichlet boundary condition $g$ such that the exact solution reads\n",
    "\n",
    "$$u(r,\\theta) = r^{\\frac{2}{3}}\\sin(\\frac{2}{3}\\theta),$$\n",
    "\n",
    "in the polar coordinates. Then $u\\in H^s$ for $s<5/3$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\nIAuCBEAWBAmALAgSAFkQJACy8H8zElO6lF3SaQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%  Generate an initial mesh of the Lshape domain and set PDE data\n",
    "[node,elem] = squaremesh([-1,1,-1,1],0.25);\n",
    "[node,elem] = delmesh(node,elem,'x>0 & y<0');\n",
    "bdFlag = setboundary(node,elem,'Dirichlet');\n",
    "mesh = struct('node',node,'elem',elem,'bdFlag',bdFlag);\n",
    "showmesh(node,elem);\n",
    "pde = Lshapedata;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     3201,  #nnz:    14473, smoothing: (1,1), iter:  9,   err = 7.57e-09,   time = 0.09 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    12545,  #nnz:    59657, smoothing: (1,1), iter: 10,   err = 1.35e-09,   time = 0.11 s\n",
      "\n",
      " #Dof       h        ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      "  225   7.143e-02   6.55149e-03   1.13956e-01   4.35355e-02   2.01109e-02\n",
      "  833   3.589e-02   2.69513e-03   7.29268e-02   2.77815e-02   1.30302e-02\n",
      " 3201   1.799e-02   1.09785e-03   4.64100e-02   1.75876e-02   8.29780e-03\n",
      "12545   9.009e-03   4.43931e-04   2.94264e-02   1.11008e-02   5.24950e-03\n",
      "\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      "  225   6.00e-02   1.00e-02   9.00e-02   2.00e-02\n",
      "  833   3.00e-02   0.00e+00   2.00e-02   2.00e-02\n",
      " 3201   7.00e-02   9.00e-02   4.00e-02   0.00e+00\n",
      "12545   1.50e-01   1.10e-01   1.00e-01   6.00e-02\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\njCtgQWIYhmFcwf8HTLzBbDa3NgQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\nxpAAAAAwAgQkAAAAjAABCQAAACP8P6a0z0GYz7J1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "% Solve Poisson equation by the linear FEM\n",
    "femPoisson(mesh,pde);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When $u\\in H^{1+\\epsilon}(\\Omega)$ with $\\epsilon \\in [0,1]$, in view of the approximation theory, we cannot expect the finite element\n",
    "approximation rate $\\|\\nabla (u-u_h)\\|$ better than $h^{\\epsilon}$ if we insist on quasi-uniform grids. For the Lshape problem above, we expect the rate of convergence is less than $2/3 \\approx 0.67$ which is confirmed by the numerical example."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adaptive Procedure\n",
    "\n",
    "Standard adaptive finite element methods (AFEM) based on the local mesh refinement can be written as loops of the form\n",
    "\n",
    "**SOLVE -> ESTIMATE -> MARK -> REFINE**\n",
    "\n",
    "Starting from an initial triangulation $\\mathcal  T_0$, to get $\\mathcal T_{k+1}$ from $\\mathcal T_k$ we first solve the equation to get $u_k$ based on $\\mathcal T_k$. The error is estimated using $u_k$ and $\\mathcal  T_k$ and used to mark a set of of triangles in $\\mathcal T_k$. Marked triangles and possible more neighboring triangles are refined in such a way that the triangulation is still shape regular and conforming. \n",
    "\n",
    "Example: `Lshape.m`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     2231,  #nnz:    10757, smoothing: (1,1), iter:  7,   err = 4.05e-10,   time = 0.14 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     2860,  #nnz:    13804, smoothing: (1,1), iter:  7,   err = 3.24e-10,   time = 0.04 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     3631,  #nnz:    17541, smoothing: (1,1), iter:  7,   err = 4.38e-10,   time = 0.07 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     4585,  #nnz:    22285, smoothing: (1,1), iter:  7,   err = 4.78e-10,   time = 0.05 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     5785,  #nnz:    28297, smoothing: (1,1), iter:  7,   err = 4.25e-10,   time = 0.05 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     7278,  #nnz:    35678, smoothing: (1,1), iter:  7,   err = 4.25e-10,   time = 0.07 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     9197,  #nnz:    45119, smoothing: (1,1), iter:  7,   err = 3.97e-10,   time = 0.09 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    11593,  #nnz:    56969, smoothing: (1,1), iter:  7,   err = 3.24e-10,   time = 0.14 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    14554,  #nnz:    71528, smoothing: (1,1), iter:  7,   err = 2.37e-10,   time = 0.14 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    18220,  #nnz:    89844, smoothing: (1,1), iter:  7,   err = 2.64e-10,   time = 0.17 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    22768,  #nnz:   112538, smoothing: (1,1), iter:  7,   err = 3.79e-10,   time = 0.19 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    28355,  #nnz:   140379, smoothing: (1,1), iter:  7,   err = 4.09e-10,   time = 0.25 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    35409,  #nnz:   175385, smoothing: (1,1), iter:  6,   err = 9.01e-09,   time = 0.38 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    44197,  #nnz:   219071, smoothing: (1,1), iter:  6,   err = 5.49e-09,   time = 0.44 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    54960,  #nnz:   272342, smoothing: (1,1), iter:  6,   err = 5.12e-09,   time = 0.47 s\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\nSUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\nBySGYRjGF3BAYhiGYXzB/wf+6DD+7EIiNQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%% Parameters\n",
    "maxN = 5e4;     theta = 0.4;    maxIt = 100; \n",
    "N = zeros(maxIt,1);   \n",
    "errL2 = zeros(maxIt,1);   \n",
    "errH1 = zeros(maxIt,1); \n",
    "erreta = zeros(maxIt,1);\n",
    "\n",
    "%%  Generate an initial mesh and set up PDE data\n",
    "[node,elem] = squaremesh([-1,1,-1,1],0.5);\n",
    "[node,elem] = delmesh(node,elem,'x>0 & y<0');\n",
    "bdFlag = setboundary(node,elem,'Dirichlet');\n",
    "pde = Lshapedata;\n",
    "\n",
    "%%  Adaptive Finite Element Method\n",
    "% *SOLVE* -> *ESTIMATE* -> *MARK* -> *REFINE*\n",
    "for k = 1:maxIt\n",
    "    % Step 1: SOLVE\n",
    "    [soln,eqn,info] = Poisson(node,elem,bdFlag,pde);\n",
    "    figure(1);  showresult(node,elem,soln.u,[-50,12]);    \n",
    "    % Step 2: ESTIMATE\n",
    "%     eta = estimaterecovery(node,elem,u);         % recovery type\n",
    "    eta = estimateresidual(node,elem,soln.u,pde);    % residual type\n",
    "    % Record error and number of vertices\n",
    "    N(k) = size(node,1);\n",
    "    errH1(k) = getH1error(node,elem,pde.Du,soln.Du);\n",
    "    errL2(k) = getL2error(node,elem,pde.exactu,soln.u);\n",
    "    erreta(k) = sqrt(sum(eta.^2));\n",
    "    if (N(k)>maxN), break; end        \n",
    "    % Step 3: MARK\n",
    "    markedElem = mark(elem,eta,theta);\n",
    "    % Step 4: REFINE\n",
    "    [node,elem,bdFlag] = bisect(node,elem,markedElem,bdFlag);\n",
    "end\n",
    "\n",
    "%% Plot convergence rates\n",
    "figure;\n",
    "showrate3(N(1:k),errH1(1:k),10,'-*','||Du-Du_h||',...\n",
    "          N(1:k),errL2(1:k),10,'k-+','||u-u_h||',...\n",
    "          N(1:k),erreta(1:k),10,'m-x','\\eta');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solution has a sharp gradient near the origin and the adaptive FEM automatically refines the mesh near the singularity. Optimal rate of convergence in terms of number of unknowns, i.e., \n",
    "\n",
    "$$\\|\\nabla (u - u_h) \\|\\leq C N^{-0.5}$$ \n",
    "\n",
    "is observed. For quasi-uniform meshes in 2D, $N^{-0.5} \\approx h$ is first order. The *a posteriori* error estimator $\\eta$ is an upper bound of the error and always decay in an optimal order. The $L^2$-norm of the error converges in second order."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Details of Each Step\n",
    "\n",
    "- **SOLVE**. We use direct solver `A\\b` or multigrid solvers to solve the linear system `Au=b`. For meshes generated in `ifem`, `mg(A,b,elem)` is faster than `amg(A,b)`.\n",
    "\n",
    "- **ESTIMATE**. We use the residual-type a posterior error estimator `estimateresidual` which returns \n",
    "$$\n",
    "\\eta(\\tau,u_{\\mathcal T})^2 = \\|h f\\|_{0,\\tau}^2 + \\sum _{e\\in \\partial \\tau} \\|h^{1/2}[\\nabla u_{\\mathcal T}\\cdot n_e]\\|_{0,e}^2.\n",
    "$$\n",
    "Other option is `estimaterecovery(node,elem,u)` which only requres the mesh and a finite element function. Recovery type estimator is more flexiable but residual-type is more theoretical sound. \n",
    "\n",
    "- **MARK**. Let $\\theta \\in (0,1)$. We use the bulk marking strategy \n",
    "\n",
    "$$\n",
    "\\eta ^2(u_{\\mathcal T},\\mathcal M_{\\mathcal T})\\geq \\theta \\, \\eta ^2(u_{\\mathcal T},\\mathcal T).\n",
    "$$\n",
    "\n",
    "Use `markedElem = mark(elem,eta,theta,'max')` for the maximum marking strategy\n",
    "$$\n",
    "\\eta (u_{\\mathcal T},\\tau ^*)\\geq \\theta \\max _{\\tau\\in \\mathcal T}\\eta (u_{\\mathcal T},\\tau ).\n",
    "$$\n",
    "\n",
    "- **REFINE**. We implement the newest vertex bisection and refer to [Bisection in Two Dimensions](bisectdoc.html) for detailed description.In short, the bisection method will divide one triangle into two children triangles by connecting one vertex to the middle point of its opposite edge. The subtlity is to keep both thehape regularity and conformity of the mesh. \n",
    "\n",
    "- **COARSEN**. For some problems, e.g., evolution problems, coarsening (de-refinement) is needed as the singularity could move. Then use\n",
    "        eta = eleminterpolate(eta,tree);\n",
    "        markedElem = mark(elem,eta,0.5*theta,'COARSEN');\n",
    "        [node,elem,bdFlag] = coarsen(node,elem,markedElem,bdFlag);\n",
    "See [Coarsen in two dimensions](coarsendoc.html) for the coarsening algorithm."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Matlab",
   "language": "matlab",
   "name": "matlab"
  },
  "language_info": {
   "codemirror_mode": "octave",
   "file_extension": ".m",
   "help_links": [
    {
     "text": "MetaKernel Magics",
     "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
    }
   ],
   "mimetype": "text/x-matlab",
   "name": "matlab",
   "version": "0.14.3"
  },
  "toc": {
   "colors": {
    "hover_highlight": "#DAA520",
    "navigate_num": "#000000",
    "navigate_text": "#333333",
    "running_highlight": "#FF0000",
    "selected_highlight": "#FFD700",
    "sidebar_border": "#EEEEEE",
    "wrapper_background": "#FFFFFF"
   },
   "moveMenuLeft": true,
   "nav_menu": {
    "height": "66px",
    "width": "252px"
   },
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
   "threshold": 4,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": true,
   "widenNotebook": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
